Download Power Play – NCERT Class 8 Maths Chapter 2 PDF from the new NCERT Class 8 Maths book Ganita Prakash (2026-27). Read the chapter online or download the free PDF. na means n multiplied by itself a times. Here n is the base and a is the exponent (or power). 54 = 5 × 5 × 5 × 5 = 625.
Power Play PDF – Chapter 2 of Ganita Prakash (Part I)
Read the chapter online or download the PDF.
| Chapter | Download | |
|---|---|---|
| Chapter 2 PDF | Power Play | View PDF |
| Full book | NCERT Class 8 Maths – Ganita Prakash | View Book |
Read Online
What Is in Power Play? (Class 8 Maths Chapter 2)
- na means n multiplied by itself a times. Here n is the base and a is the exponent (or power). 54 = 5 × 5 × 5 × 5 = 625.
- The five working rules: na × nb = na+b, (na)b = nab, na ÷ nb = na–b, ma × na = (mn)a and ma ÷ na = (m ÷ n)a.
- n0 = 1 and n–a = 1/na (for n ≠ 0) are not extra rules — they are the only definitions that let na ÷ nb = na–b keep working when a = b or a < b.
- Exponential growth multiplies by a fixed factor at each step; linear growth adds a fixed amount. 46 folds reach the Moon, while 192.2 crore ladder steps are needed to do the same job.
- Scientific notation writes a number as x × 10y with 1 ≤ x < 10 and y an integer. The exponent y tells you how big the number is; the digits of x say how precisely you know it.
- Powers of 10 give names to huge quantities: lakh 105, crore 107, arab 109, kharab 1011, neel 1013, padma 1015; million 106, billion 109, trillion 1012.
Quick revision – Power Play
| Idea | General form | Example from the chapter | Why it works |
|---|---|---|---|
| Product of powers | Na × nb = na+b | 34 × 33 = 37 = 2187 | A factors of n, then b more — a + b factors in all |
| Power of a power | (na)b = (nb)a = na×b | (42)3 = 46 = 4096 | B groups, each with a factors |
| Quotient of powers | Na ÷ nb = na–b (n ≠ 0) | 24 ÷ 23 = 21 = 2 | B factors below cancel b factors above |
| Same exponent, two bases | Ma × na = (mn)a | 25 × 55 = 105 = 1,00,000 | Regroup into a pairs, each pair m × n |
| Division, same exponent | Ma ÷ na = (m ÷ n)a (n ≠ 0) | 104 ÷ 54 = 24 = 16 | A fractions m/n multiplied together |
| Zero exponent | N0 = 1 (n ≠ 0) | 40 = 1 | Na ÷ na is 1, and the rule calls it n0 |
| Negative exponent | N–a = 1/na (n ≠ 0) | 2–6 = 1/64 | Keep halving past n0 and the pattern continues |
| Flipping a negative power | Na = 1/n–a | 72 = 1/7–2 | The reciprocal of a reciprocal is the number itself |
| Standard (scientific) form | X × 10y, 1 ≤ x < 10, y an integer | 5900 = 5.9 × 103 | Y fixes the size, x fixes the leading digits |
| Exponential vs linear growth | × fixed factor vs + fixed amount | 46 folds vs 1,92,20,00,000 steps | Multiplying compounds; adding does not |
| Indian names | Lakh 105, crore 107, arab 109, kharab 1011, neel 1013, padma 1015, shankh 1017 | 2 crore = 2 × 107 | Each name is 100 times the one before |
| International names | Million 106, billion 109, trillion 1012, quadrillion 1015 | 3 trillion trees = 3 × 1012 | Each name is 1000 times the one before |
Old NCERT vs New – Class 8 Maths
This chapter is from Ganita Prakash, the new NCERT Class 8 Maths book (NCF-SE 2023, used from 2025-26). It replaced the old book “Mathematics”, so chapter numbers and names differ from older PDFs.
Solutions and All Chapters
Answers to the exercises and the full chapter list of Ganita Prakash:
Power Play – Overview
| Class | Class 8 |
| Subject | Maths |
| Book | Ganita Prakash – new NCERT book |
| Part | Part I |
| Chapter | 2 of 14 – Power Play |
| Book pages | 19 – 47 |
| Edition | NCERT Reprint 2026-27 |
| Session | 2026-27 |
| Free – read online or download |
Class 8 Maths Chapter 2 – FAQs
Where can I download Power Play Class 8 PDF?
From the download table on this page – the chapter PDF is free, and the full book is linked too.
What is Class 8 Maths Chapter 2 about?
na means n multiplied by itself a times. Here n is the base and a is the exponent (or power). 54 = 5 × 5 × 5 × 5 = 625.
Is Power Play from the new NCERT Class 8 Maths book?
Yes. It is chapter 2 of ganita prakash (part i), the new NCERT Class 8 Maths book for 2026-27.
Is this the latest NCERT edition for 2026-27?
Yes – the PDF is NCERT’s latest edition for the 2026-27 session.
Where are the NCERT Solutions for Class 8 Maths Chapter 2?
Open the NCERT Solutions link above for answers to the exercise questions.